A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 300 bolts?
A. 36
B. 72
C. 120
D. 144
E. 180

B

Step-by-step explanation:

Let’s label the old machine as A while the new machine be labeled B

Firstly we establish the individual rates which have been given in the question:

A = 100 bolts/hour

B = 150 bolts/hour

Now, number of bolts made is rate in bolts/hour * time taken

Since we do not know the time taken, let the time taken be represented by x.

Since they are working together, the number of bolts produced by A in x hours would be 100x while the number of bolts produced by B in x hours is 150x.

We add both together to give the total number of bolts since they are working together.

The total number of bolts is thus: 150x + 100x. We have been given this total value to be 300. Hence:

300 = 150x + 100x

300 = 250x

x = 300/250

x = 1.2 hours

Since 1 hour is 60 minutes, 1.2 hours is same as 1.2 * 60 = 72 minutes

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation: